<em>H</em><sub>∞</sub> Synchronization of Chaotic Systems via Delayed Feedback Control

Li Sheng; Hui-Zhong Yang

doi:10.1007/s11633-010-0230-4

H_∞ Synchronization of Chaotic Systems via Delayed Feedback Control

doi: 10.1007/s11633-010-0230-4

Li Sheng^,,
Hui-Zhong Yang

1.
Institute of Measurement and Process Control, Jiangnan University, Wuxi 214122, PRC;
2.
Institute for Systems Research, University of Maryland, College Park 20740, USA

基金项目:

supported by National Natural Science Foundation of China (No.60674092)

H_∞ Synchronization of Chaotic Systems via Delayed Feedback Control

Li Sheng^,,
Hui-Zhong Yang

1.
Institute of Measurement and Process Control, Jiangnan University, Wuxi 214122, PRC;
2.
Institute for Systems Research, University of Maryland, College Park 20740, USA

Funds:

supported by National Natural Science Foundation of China (No.60674092)

More Information

Corresponding author: Li Sheng received the B.Sc.and M.Sc. degrees from Shandong Normal University, PRC.Currently,he is a Ph.D.

摘要: The H synchronization problem for a class of delayed chaotic systems with external disturbance is investigated. A novel delayed feedback controller is established under which the chaotic master and slave systems are synchronized with a guaranteed H performance. Based on the Lyapunov stability theory, a delay-dependent condition is derived and formulated in the form of linear matrix inequality (LMI). A numerical simulation is also presented to validate the effectiveness of the developed theoretical results.
- Chaotic systems /
- H synchronization /
- delayed feedback control /
- Lyapunov theory /
- linear matrix inequality (LMI)
Abstract: The H synchronization problem for a class of delayed chaotic systems with external disturbance is investigated. A novel delayed feedback controller is established under which the chaotic master and slave systems are synchronized with a guaranteed H performance. Based on the Lyapunov stability theory, a delay-dependent condition is derived and formulated in the form of linear matrix inequality (LMI). A numerical simulation is also presented to validate the effectiveness of the developed theoretical results.
- Chaotic systems /
- H synchronization /
- delayed feedback control /
- Lyapunov theory /
- linear matrix inequality (LMI)

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H_∞ Synchronization of Chaotic Systems via Delayed Feedback Control

doi: 10.1007/s11633-010-0230-4

H_∞ Synchronization of Chaotic Systems via Delayed Feedback Control

Corresponding author: Li Sheng received the B.Sc.and M.Sc. degrees from Shandong Normal University, PRC.Currently,he is a Ph.D.

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H_∞ Synchronization of Chaotic Systems via Delayed Feedback Control

doi: 10.1007/s11633-010-0230-4

1. Institute of Measurement and Process Control, Jiangnan University, Wuxi 214122, PRC;

2. Institute for Systems Research, University of Maryland, College Park 20740, USA

English Abstract

H_∞ Synchronization of Chaotic Systems via Delayed Feedback Control

1. Institute of Measurement and Process Control, Jiangnan University, Wuxi 214122, PRC;

2. Institute for Systems Research, University of Maryland, College Park 20740, USA

Corresponding author: Li Sheng received the B.Sc.and M.Sc. degrees from Shandong Normal University, PRC.Currently,he is a Ph.D.

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H∞ Synchronization of Chaotic Systems via Delayed Feedback Control

doi: 10.1007/s11633-010-0230-4

H∞ Synchronization of Chaotic Systems via Delayed Feedback Control

Corresponding author: Li Sheng received the B.Sc.and M.Sc. degrees from Shandong Normal University, PRC.Currently,he is a Ph.D.

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H∞ Synchronization of Chaotic Systems via Delayed Feedback Control

doi: 10.1007/s11633-010-0230-4

1. Institute of Measurement and Process Control, Jiangnan University, Wuxi 214122, PRC; 2. Institute for Systems Research, University of Maryland, College Park 20740, USA

English Abstract

H∞ Synchronization of Chaotic Systems via Delayed Feedback Control

1. Institute of Measurement and Process Control, Jiangnan University, Wuxi 214122, PRC; 2. Institute for Systems Research, University of Maryland, College Park 20740, USA

Corresponding author: Li Sheng received the B.Sc.and M.Sc. degrees from Shandong Normal University, PRC.Currently,he is a Ph.D.

全文HTML

目录

H_∞ Synchronization of Chaotic Systems via Delayed Feedback Control

H_∞ Synchronization of Chaotic Systems via Delayed Feedback Control

H_∞ Synchronization of Chaotic Systems via Delayed Feedback Control

1. Institute of Measurement and Process Control, Jiangnan University, Wuxi 214122, PRC;

2. Institute for Systems Research, University of Maryland, College Park 20740, USA

H_∞ Synchronization of Chaotic Systems via Delayed Feedback Control

1. Institute of Measurement and Process Control, Jiangnan University, Wuxi 214122, PRC;

2. Institute for Systems Research, University of Maryland, College Park 20740, USA